How many kilojoules are required to melt 15g of ice at 0 degrees C, and raise the temperature of the liquid that forms to 85 degrees C?

Still don't understand !

q1 = heat needed to melt ice at 0C

q1 = mass ice x heat fusion = ?J

q2 = heat needed to raise T of liquid H2O from 0C to 85 C
q2 = mass H2O x specific heat H2O x (Tfinal-Tinitial) = ? J

Total q = q1 + q2 = ? in J.
Convert to kJ.

5.01kj

5.33kj
10kj

Well, before I answer your question, let's break the ice! Why did the scarecrow become a successful chemist? Because he was outstanding in his field! Now, back to your question. To calculate the total energy required, we need to consider two steps: melting the ice and then heating the liquid water.

First, we need to calculate the energy required to melt the ice. The heat of fusion for ice is approximately 334 J/g. So, to melt 15g of ice, we would need:

Energy for melting = Mass of ice × Heat of fusion
= 15g × 334 J/g

Now, once the ice is melted, we need to calculate the energy required to raise the temperature of the liquid water from 0 degrees C to 85 degrees C. The specific heat capacity of water is approximately 4.18 J/g°C. Therefore, the energy required will be:

Energy for heating = Mass of water × Specific heat capacity × Change in temperature
= 15g × 4.18 J/g°C × (85°C - 0°C)

To find the total energy required, we just add the energy required for melting and heating together:

Total energy required = Energy for melting + Energy for heating

Now, let me crunch the numbers for you... *beep boop beep*

The total energy required to melt 15g of ice at 0 degrees C and raise the temperature of the liquid water to 85 degrees C is approximately [insert answer here]. I hope that helped you break the ice on this topic!

To find the total amount of kilojoules required to melt the ice and raise the temperature of the liquid, we need to consider two processes:

1. The energy required to melt the ice: This can be calculated using the heat of fusion equation.

2. The energy required to raise the temperature of the liquid: The amount of energy needed to raise the temperature of a substance can be calculated using the specific heat capacity equation.

Let's break down both calculations:

1. The energy required to melt the ice:
The heat of fusion is the amount of energy required to change a substance from a solid to a liquid at its melting point. For water, the heat of fusion is approximately 334 kilojoules per kilogram (kJ/kg).

Since we have 15 grams of ice, we need to convert this to kilograms by dividing by 1000.
15 grams = 15/1000 = 0.015 kilograms

Now we can calculate the energy required to melt the ice:
Energy = mass × heat of fusion
Energy = 0.015 kg × 334 kJ/kg

2. The energy required to raise the temperature of the liquid:
The specific heat capacity is the amount of energy needed to raise the temperature of a substance by 1 degree Celsius (or 1 Kelvin). For water, the specific heat capacity is approximately 4.18 kilojoules per kilogram per degree Celsius (kJ/kg°C).

To calculate the energy required to raise the temperature, we need to consider the change in temperature and the mass of the liquid water that forms after the ice melts. The change in temperature is from 0°C to 85°C.

Energy = mass × specific heat capacity × change in temperature
The mass of the liquid water can be calculated by subtracting the mass of the melted ice from the initial mass of the ice.

Now we can calculate the energy required to raise the temperature:
Energy = (Total mass - Mass of melted ice) × specific heat capacity × change in temperature

By plugging in the values and performing the calculations, we can find the answer.

Δ

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2108
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Δ
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